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用离散傅里叶变换研究二维抽样的谱分布
引用本文:王旭光. 用离散傅里叶变换研究二维抽样的谱分布[J]. 南京邮电大学学报(自然科学版), 1995, 0(3)
作者姓名:王旭光
作者单位:南京邮电学院计算机通信工程系
摘    要:利用离散傅里叶变换(DFT)研究了时域中二维任意抽样的谱分布。通过构造一个二维有限区域序列,并对这一序列进行离散傅里叶变换,就能够分析不同抽样方式的谱分布,这种方法简单、直观,且具有普遍性,还提出了广义狄拉克场概念,并对经典的二维抽样定理进行了推广。

关 键 词:图像处理,二维抽样,谱分布,离散傅里叶变换,有限区域序列

An Analysis of the Spectrum of Sampled Two-Dimensional Signals by Discrete Fourier Transform
Wang Xuguang. An Analysis of the Spectrum of Sampled Two-Dimensional Signals by Discrete Fourier Transform[J]. JJournal of Nanjing University of Posts and Telecommunications, 1995, 0(3)
Authors:Wang Xuguang
Abstract:The spectral distribution of arbitrary sampled two-dimensional analog signals in time domain is analysed by using Discrete Fourier Transform. By constructing a two-dimensional finite extent sequences and computing its Discrete Fourier Transform, the two-dimensional spectrum of sampled singnals with different sampling geometries has been analysed. The concept of general unit impuls field function is presented and the generalization of classical two-dimensional sampling theorem is given.
Keywords:image processing   two dimensional sampling   spectral distribution   discrete Fourier transform   finite extent sequences
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